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Finding the Fourth Proportional to 8,230.40, 12,355.20 and 4,723.20

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Solution

The fourth proportional to 8,230.40, 12,355.20 and 4,723.20 is: 7,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.40 : 12,355.20 = 4,723.20 : x
  2. Step 2: Convert to fraction form
    8,230.40/12,355.20 = 4,723.20/x
  3. Step 3: Cross multiply
    8,230.40x = 12,355.20 × 4,723.20
  4. Step 4: Simplify right side
    8,230.40x = 58,356,080.64
  5. Step 5: Solve for x
    x = 58,356,080.64/8,230.40
  6. Step 6: Final answer
    x = 7,090.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.